Question

Rational Equations help!

Answer 1

Answer:

D

Step-by-step explanation:

To find the length of board subtract the piece cut from the length of board

$\frac{7}{x-2}$ - $\frac{3}{x+2}$

Before subtracting the fractions we require them to have a common denominator.

Multiply the numerator/denominator of the first fraction by (x + 2)

Multiply the numerator/denominator of the second fraction by (x - 2)

= $\frac{7(x+2)}{(x-2)(x+2)}$ - $\frac{3(x-2)}{(x-2)(x+2)}$

Distribute the numerators leaving the denominator

= $\frac{7x+14-3x+6}{(x-2)(x+2)}$

= $\frac{4x+20}{(x-2)(x+2)}$

Answer 2

Answer:

The correct option is D

Step-by-step explanation:

See the attached image for solution